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Finding the Third Proportional to 6,397 and 9,349

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Solution

The third proportional to 6,397 and 9,349 is: 13,663.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,397 : 9,349 = 9,349 : x
  2. Step 2: Convert to fraction form
    6,397/9,349 = 9,349/x
  3. Step 3: Cross multiply
    6,397x = 9,349 × 9,349
  4. Step 4: Simplify right side
    6,397x = 87,403,801
  5. Step 5: Solve for x
    x = 87,403,801/6,397
  6. Step 6: Final answer
    x = 13,663.25

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.